# American Institute of Mathematical Sciences

January  2006, 6(1): 151-167. doi: 10.3934/dcdsb.2006.6.151

## Traveling waves in compressible elastic rods

 1 Department of Mathematics, Lund University, PO Box 118, 22100 Lund, Sweden

Received  August 2004 Revised  September 2005 Published  October 2005

We determine all weak traveling wave solutions of a model for nonlinear dispersive waves in cylindrical compressible hyperelastic rods. Besides the previously known smooth, peaked, and cusped solutions, the equation is shown to admit compactons, stumpons, and fractal-like waves.
Citation: Jonatan Lenells. Traveling waves in compressible elastic rods. Discrete & Continuous Dynamical Systems - B, 2006, 6 (1) : 151-167. doi: 10.3934/dcdsb.2006.6.151
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